A wire carrying current I has the shape as shown in the adjoining figure. Linear parts of the wire are very long and parallel to the X-axis while the semicircular portion of radius R lies in the YZ-plane. Magnetic field at point O is:
In the shown arrangement of the experiment of the meter bridge, if AC corresponding to null deflection of galvanometer is x, what would be its value if the radius of the wire AB is doubled?
A 1kg mass is attached to a spring of force constant 600N/m and rests on a smooth horizontal surface with other end of the spring tied to a wall as shown in the figure. A second mass of 0.5kg slides on the surface and hits the first at 3m/s. If the masses make a perfectly inelastic collision, then find the amplitude of oscillation of the combined mass and time period of oscillation.
Figure below shows two paths that may be taken by a gas to go from state A to state C. In process AB, 400J of heat is added to the system and in process BC, 100J of heat is added to the system. The heat absorbed by the system in the process AC will be:
A source of sound S emitting waves of frequency 100Hz and an observer O are located at some distance from each other. The source is moving with a speed of 19.4m s⁻1 at an angle of 60^∘ with the source–observer line as shown in the figure. The observer is at rest. Find the apparent frequency observed by the observer. (Velocity of sound in air =330m s⁻1).
In the following reaction: Phenol + acetone xrightarrowH⁺ X The product [X] is:
The most likely acid–catalysed aldol condensation products of each of the two aldehydes I and II will respectively be:
Give the possible structure of X in the following reaction: C₆H₆ + D₂SO₄ xrightarrowD₂O X
In the reaction: P + Q longrightarrow ?R + S The time taken for 75% reaction of P is twice the time taken for 50% reaction of P. The concentration of Q varies with time as shown in the figure. The overall order of the reaction is:
Select a suitable figure from the four alternatives that would complete the figure matrix.
Choose the set of figures which follows the given rule. Rule: Closed figures losing their sides and open figures gaining their sides.
